In this talk, we consider the set SE(K,V,n) of all compact Sasaki-Einstein manifolds which satisfy some curvature and volume condition, and prove that the set SE(K,V,n) is compact for n greater than 2 and for n equal to 2, the limit is a Sasaki-Einstein orbifold with possibly finitely many isolated singular points. This is a joint work with Professors Shu-Cheng Chang and Jing-Zhi Tie.
Organizers:
Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi